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Finding the Third Proportional to 10,505.37 and 22,760.79

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Solution

The third proportional to 10,505.37 and 22,760.79 is: 49,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.37 : 22,760.79 = 22,760.79 : x
  2. Step 2: Convert to fraction form
    10,505.37/22,760.79 = 22,760.79/x
  3. Step 3: Cross multiply
    10,505.37x = 22,760.79 × 22,760.79
  4. Step 4: Simplify right side
    10,505.37x = 518,053,518.75
  5. Step 5: Solve for x
    x = 518,053,518.75/10,505.37
  6. Step 6: Final answer
    x = 49,313.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.